The generator matrix

 1  0  1  1  1  0  1  1  1  1  0  0
 0  1  1  0 X+1  1  0 X+1  X X+1  1  1
 0  0  X  0  X  0  X  0  X  2  0  2
 0  0  0  X  X X+2  X  0  0  2  2  2
 0  0  0  0  2  0  0  0  2  0  2  0
 0  0  0  0  0  2  0  0  2  2  2  0
 0  0  0  0  0  0  2  0  2  0  2  2
 0  0  0  0  0  0  0  2  2  2  0  2

generates a code of length 12 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+77x^6+450x^8+512x^9+1576x^10+3584x^11+3968x^12+3584x^13+1610x^14+512x^15+437x^16+64x^18+8x^20+1x^22

The gray image is a code over GF(2) with n=48, k=14 and d=12.
This code was found by Heurico 1.16 in 0.595 seconds.